982 resultados para Stokes, Teorema de


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提出了一种新模型来研究由单一物质构成的液层在其纯蒸气中的蒸发.液层置于微重力环境中并且受到水平方向温度梯度的作用,液层的热毛细对流和蒸发耦合在一起,使得气液界面的传热传质规律更加复杂.用理论分析的方法求解了不考虑热毛细效应的纯蒸发模型,得出温度场分布和界面质量流量的解析表达式.对于热毛细对流和蒸发耦合情况,采用有限差分的投影算法同时求解Navier-Stokes方程和能量方程,得到了不同蒸发Blot数和Marangoni数下流场和温度场的稳态数值解.论述了蒸发Biot数和Marangoni数对界面传热传质的影响,提出并解释了蒸发和热毛细对流耦合的三种模式.

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在化学氧碘激光的混合喷管内发生的是一个气体动力学、化学反应动力学以及光学等相互耦合的复杂过程,每个过程都对COIL性能有着至关重要的影响.利用三维CFD技术,通过求解层流Navier-Stokes方程与组分输运方程,对简化后的化学氧碘激光RADICL模型进行数值模拟与分析,对COIL的气动和增益特性进行探讨.在不同的射流穿透条件下,计算COIL混合喷管中的混合与化学反应过程,发现穿透深度决定了增益的分布特性以及过度穿透条件下的非定常结构,

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再入飞行器湍流尾迹流场状况,直接系统到飞行器的雷达散射特性。对再入飞行器湍流尾迹等离子体场理论模型,试图通过湍流模式理论来表达,即使用k-ε-g模型方程来封闭平均化的全Navier-Stokes方程,从而准确获得流动平均场和脉动场住处。使用的N-S平均议程由质量加权平均过程产生,湍流模型方程也经过可压缩性能修正。真实气体效应重点考察空气处于局部热化学平衡状态。流动控制方程运用一个二阶TVD格式有限体积法求解。以一典型小钝锥体零攻角再入飞行为例,计算了在两高程(H = 40 km和H = 30 km)条件下的高超声速湍流尾迹流场。获得的尾迹流场参数与流动物理状况符合,并且湍流脉动参数与已有相应的实验结果定性一致,初步证实该方法合理。

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在ε<<和Rs≥0(1)下采用贴体网格生成、数值求解NS方程研究圆形域内串列等直径双柱作同频同相小振幅振动在静止粘性不可压缩流体中诱导的Stokes层外的定常整流旋涡流动。数值结果表明,流场外边界的存在使大于临界雷诺数时外边界附近产生高阶分离旋涡,在很小的整流雷诺数变化范围内造成整流流谱改变。串列双柱柱间距的增加及圆域对振动柱柱径比的减小都使发生高阶分离的临界整流雷诺数之值下降。

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用流动显示实验研究圆形静止不可压缩粘性流体域内以圆心对称布置的双柱作同频同相小振幅振动时诱导的Stokes层外的定常整流旋涡流动。实验表明,串列双柱当柱间距足够大时整流流谱呈八涡结构,当间距很小或为零时呈四涡结构。双柱的斜置有利于整流旋涡的合并。当柱间距接近至一定范围时,整流流动呈三维特征。振幅的减小和频率的降低使流动易出现三维现象。

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为刻划近岸波-流-海底相互作用耗散动力系统的多种复杂作用机制,着眼于波浪对近岸大尺度变化环境流作用和考虑多变海底地形(可典型地刻划为由慢变水深和快变水深构成)的影响,由基于黏性流体Navier-Stokes方程的平均流方程,建立了近岸耗散动力系统的广义波作用量守恒方程,从中提出垂向速度波作用量和耗散波作用量这两种新概念,使得它们和经典的波作用量相互间达成了一种互补、协调而又主次分明的更为广泛的守恒形式。从而把波作用量这一经典概念从理想的平均流守恒系统引申到实际的平均流耗散系统(即广义守恒系统)中去,为解释沿岸过程和应用于近海、海岸工程提供了一个理论基础。

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研究了雷诺数Re=200,1000,线速度比α=0.5,2.0,4.0,强迫振荡频率fs=0.1~2.0情况下的旋转振荡圆柱绕流问题.通过基于非结构同位网格有限体积法对Navier-Stokes方程进行数值求解.对流项、扩散项和非恒定项的离散格式均具有二阶精度,利用SIMPLE算法处理压力-速度耦合.计算得到了作用力系数随不同控制参数的变化规律.通过对升力系数的频谱分析得到自然脱落频率和强迫振荡频率下的作用力振幅.通过对不同频率作用力幅值的分析,得到频率之间的竞争关系,进而定量地给出了不同尾迹涡脱落模式的分区图.

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通过数值求解三维不可压缩Navier-Stokes方程,研究了振荡圆柱绕流的旋涡不稳定性。研究表明,在一定的参数范围内,由于旋涡不稳定性,振荡流出由二维演化成三维流动,并沿圆柱轴向形成交错排列的三维涡结构。数值计算合理地预测了三维涡结构的空间失稳波长,并与实验测试值相符很好。文中还进一步研究了圆柱的受力特性,通过求解Morison方程,计算了圆柱的阻力和惯性力特性,其计算结果与已有的实验数据相吻合。

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通过基于非结构化网络的有限体积法对二维稳态Navier-Stokes方程进行了数值求解。其中对流项采用延迟修正的二阶格式进行离散;扩散项的离散采用二阶中心差分格式;对于压力-速度耦合利用SIMPLE算法进行处理;计算节点的布置采用同位网格技术,界面流速通过动量插值确定。本文对方腔驱动流、倾斜腔驱动流和圆柱外部绕流问题进行了计算,讨论了非结构化同位网格有限体积法在实现SIMPLE算法时,迭代次数与欠松弛系数的关系、不同网格情况的收敛性、同结构化网格的对比以及流场尾迹结构。通过和以往结果比较可知,本文的方法是准确和可信的。

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从Navier-Stokes方程出发,研究了湍流不同尺度间的相互作用规律,给出相近尺度间近程粘性应力的积分和微分表达式.引入极相近尺度之间共振相互作用的概念,得到共振粘性应力的微分表达式.利用共振粘性应力张量获得不含经验关系和常数、近似封闭的大涡模拟(LES)方程组.利用近程和共振粘性应力张量获得不含经验关系和常数、近似封闭的湍流多尺度方程组.讨论了湍流多尺度方程的性质及用于湍流计算的优点,尺度间相互作用的近程特性说明:多尺度模拟是湍流计算很有价值的方法,并列举了算例.

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求解Navier-Stokes方程组,一直是粘性流动计算的主导途径。但在计算中,都是在一定的网格单元上进行离散,而对不同的离散单元,流动的特征并不相同。该文通过离散单元上网格雷诺数的变化分析,采用耦合离散流体理论(CDFT)差分格式,对向后台阶底部超声速流动问题进行数值模拟,得到了满意的结果。

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The starting process of two-dimensional nozzle flows has been simulated with Euler, laminar and k - g two-equation turbulence Navier-Stokes equations. The flow solver is based on a combination of LUSGS subiteration implicit method and five spatial discretized schemes, which are Roe, HLLE, MHLLE upwind schemes and AUSM+, AUSMPW schemes. In the paper, special attention is for the flow differences of the nozzle starting process obtained from different governing equations and different schemes. Two nozzle flows, previously investigated experimentally and numerically by other researchers, are chosen as our examples. The calculated results indicate the carbuncle phenomenon and unphysical oscillations appear more or less near a wall or behind strong shock wave except using HLLE scheme, and these unphysical phenomena become more seriously with the increase of Mach number. Comparing the turbulence calculation, inviscid solution cannot simulate the wall flow separation and the laminar solution shows some different flow characteristics in the regions of flow separation and near wall.

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High temperature chemical non-equilibrium phenomena have a great effect on the flow field around a reentry vehicle. A set of three dimensional Navier-Stokes equations have been solved by implicit finite volume NND scheme. Both ideal gas viscous flow and chemical non-equilibrium flow are calculated for a spherical-cone at a small angle of attack. The results of the two flows have been compared and the effect of chemical non-equilibrium has been analyzed. The effect of wall material's properties, such as catalysis and radiation were studied. The results are in good agreement with the referenced paper.

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The high Reynolds number flow contains a wide range of length and time scales, and the flow domain can be divided into several sub-domains with different characteristic scales. In some sub-domains, the viscosity dissipation scale can only be considered in a certain direction; in some sub-domains, the viscosity dissipation scales need to be considered in all directions; in some sub-domains, the viscosity dissipation scales are unnecessary to be considered at all. For laminar boundary layer region, the characteristic length scales in the streamwise and normal directions are L and L Re-1/ 2 , respectively. The characteristic length scale and the velocity scale in the outer region of the boundary layer are L and U, respectively. In the neighborhood region of the separated point, the length scale l<dea of solving the conservation equations for discrete cells was proposed and named the discrete fluid dynamics (DFD) algorithm. Analysis shows that the basic conservative equations for discrete cells are the Euler equations, NS- and diffusion parabolized (DP) NS equations. In this paper, a new multiscale-domain decomposition method is developed for the high Reynolds number flow. First, the whole domain is decomposed to different sub-domains with the different characteristic scales. Then the different dominant equation of all sub-domains is defined according to the diffusion parabolized (DP) theory of viscous flow. Finally these different equations are solved simultaneously in whole computational region. For numerical tests of high Reynolds numerical flows, two-dimensional supersonic flows over rearward and frontward steps as well as an interaction flow between shock wave and boundary layer were solved numerically. The pressure distributions and local coefficients of skin friction on the wall are given. The numerical results obtained by the multiscale-domain decomposition algorithm are well agreement with those by NS equations. Comparing with the usual method of solving the Navier-Stokes equations in the whole flow, under the same numerical accuracy, the present multiscale domain decomposition method decreases CPU consuming about 20% and reflects the physical mechanism of practical flow more accurately.

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Through the coupling between aerodynamic and structural governing equations, a fully implicit multiblock aeroelastic solver was developed for transonic fluid/stricture interaction. The Navier-Stokes fluid equations are solved based on LU-SGS (lower-upper symmetric Gauss-Seidel) Time-marching subiteration scheme and HLLEW (Harten-Lax-van Leer-Einfeldt-Wada) spacing discretization scheme and the same subiteration formulation is applied directly to the structural equations of motion in generalized coordinates. Transfinite interpolation (TFI) is used for the grid deformation of blocks neighboring the flexible surfaces. The infinite plate spline (IPS) and the principal of virtual work are utilized for the data transformation between fluid and structure. The developed code was fort validated through the comparison of experimental and computational results for the AGARD 445.6 standard aeroelastic wing. In the subsonic and transonic range, the calculated flutter speeds and frequencies agree well with experimental data, however, in the supersonic range, the present calculation overpredicts the experimental flutter points similar to other computations. Then the flutter character of a complete aircraft configuration is analyzed through the calculation of the change of structural stiffness. Finally, the phenomenon of aileron buzz is simulated for the weakened model of a supersonic transport wing/body model at Mach numbers of 0.98 and l.05. The calculated unsteady flow shows, on the upper surface, the shock wave becomes stronger as the aileron deflects downward, and the flow behaves just contrary on the lower surface of the wing. Corresponding to general theoretical analysis, the flow instability referred to as aileron buzz is induced by a stronger shock alternately moving on the upper and lower surfaces of wing. For the rigid structural model, the flow is stable at all calculated Mach numbers as observed in experiment